一维云模型系统的逼近性研究

李众; 高键; 张日勋

doi:10.3724/SP.J.1004.2011.01190

一维云模型系统的逼近性研究

doi: 10.3724/SP.J.1004.2011.01190

李众^1,2, ,,
高键²,
张日勋²

1.
常州信息职业技术学院电子与电气工程学院常州 213164;
2.
江苏科技大学电子信息学院镇江 212003

详细信息

通讯作者:
李众常州信息职业技术学院电子与电气工程学院教授,江苏科技大学电子信息学院教授. 2006年于南京航空航天大学自动化学院获得控制理论与控制工程专业工学博士. 主要研究方向为电气自动化、智能控制和云模型. E-mail: xlizhong@163.com

计量
- 文章访问数: 1794
- HTML全文浏览量: 27
- PDF下载量: 747
- 被引次数: 0
出版历程
- 收稿日期: 2010-09-06
- 修回日期: 2011-04-23
- 刊出日期: 2011-10-20

On Approximation of One-dimension Cloud Model Systems

LI Zhong^{1,2
, ,},
GAO Jian²,
ZHANG Ri-Xun²

1.
Institute of Electronic and Electrical, Changzhou College of Information Technology, Changzhou 213164;
2.
College of Electronic Information, Jiangsu University of Science and Technology, Zhenjiang 212003

摘要

摘要: 针对云模型的基本原理,提出了一类云模型系统的设计方法,并利用Stone-Weierstrass定理对在3σ 正态分布随机数条件下的云模型系统任意逼近紧集上的任意连续实函数进行了证明, 是对云模型应用于逼近任意连续非线性函数理论的创新,也是今后云模型系统用于系统辨识和控制的理论依据.
- 云模型 /
- 云模型系统 /
- 逼近性 /
- 推理
Abstract: A new design method for a class of the cloud model systems is put forward based on the theory of cloud model. Any continuous real function from any approximating compact set under 3-sigma random normal distribution is proved for the cloud model system by using the Stone-Weierstrass theorem. This cloud model system enriches the theory of approximating any continuous non-linear function. The innovative method provides a theoretic basis for the future application in system identification and control.
- Cloud model /
- cloud model system /
- approximation /
- reasoning

HTML全文

参考文献(1)

[1]

Li D Y, Han J W, Shi X M, Chan M C. Knowledge representation and discovery based on linguistic atoms. Knowledge-Based Systems, 1998, 10 (7): 431-440[2] Li D Y, Cheng D W, Shi X M. Uncertainty reasoning based on cloud models in controllers. Computer and Mathematics with Application, 1998, 35(3): 99-123[3] Huang Jian-Jun, Li Peng-Fei, Yu Jian-Ping, Ruan Yi-Wu. Multitarget data association algorithm using cluster cloud model based c-means clustering. Journal of Shenzhen University (Science and Engineering), 2010, 27(1): 11-15 (黄建军, 李鹏飞, 喻建平, 阮宜武. 基于类云模型聚类的多目标数据关联算法. 深圳大学学报(理工版), 2010, 27(1): 11-15)[4] Zhang Fei-Zhou, Fan Yue-Zu, Sun Xian-Fang. Assessment and analysis of fuzzy reliability based on cloud models in aircraft navigation system. Acta Automatic Sinica, 2002, bf 28(1): 126-130 (张飞舟, 范跃祖,孙先仿. 基于云模型的导航系统模糊可靠性评测分析. 自动化学报, 2002, 28(1): 126-130)[5] Dai Chao-Hua, Zhu Yun-Fang, Chen Wei-Rong. Cloud theory-based genetic algorithm. Journal of Southwest Jiaotong University, 2006, 41(6): 729-732 (戴朝华,朱云芳,陈维荣. 云遗传算法. 西南交通大学学报, 2006, bf 41(6): 729-732)[6] Zhang Guo-Ying, Sha Yun, Liu Xu-Hong, Liu Yu-Shu. High dimensional cloud model and its application in multiple attribute evaluation. Journal of Beijing Institute of Technology, 2004, 24(12): 1065-1069 (张国英, 沙云, 刘旭红, 刘玉树. 高维云模型及其在多属性评价中的应用.北京理工大学学报, 2004, bf 24(12): 1065-1069)[7] Ma Shi-Dong, Han Liang, Gong Guang-Hong, Song Xiao. Target threat assessment technology based on cloud model. Journal of Beijing University of Aeronautics and Astronautics, 2010, bf 36(2): 150-154 (麻士东, 韩亮, 龚光红, 宋晓. 基于云模型的目标威胁等级评估. 北京航空航天大学学报, 2010, 36(2): 150-154)[8] Li Zhong, Yang Yi-Dong. Controllable pitch propeller control based on qualitative reasoning of variant dimension cloud model. Journal of Nanjing University of Aeronautics Astronautics, 2003, 35(2): 162-167. (李众, 杨一栋. 基于混合维云模型定性推理的调距桨螺距控制. 南京航空航天大学学报, 2003, 35(2): 162-167)[9] Li Tao, Sun Qu, Yang Li, Xu Ting-Ting. Intelligent controller design based on vector decoupled clouds model, Journal of Sichuan University(Engineering Science Edition), 2009, bf 41(5): 232-237 (李涛, 孙衢, 杨莉, 徐婷婷. 基于解耦矢量云模型的智能控制器设计. 四川大学学报(工程科学版), 2009, 41(5): 232-237)[10] Gao Jian, Jiang Chang-Sheng, Li Zhong. A novel design of controller based on cloud model. Information and Control. 2005, 34(2): 157-162 (高键, 姜长生, 李众. 一种新的云模型控制器设计. 信息与控制, 2005, 34(2): 157-162)[11] Li Zhong, Yang Yi-Dong. A novel intelligent controller based on uncertainty reasoning of two-dimension cloud model. Control and Decision, 2005, 20(8): 866-872 (李众, 杨一栋. 一种新的基于二维云模型不确定性推理的智能控制器. 控制与决策, 2005, 20(8): 866-872)[12] Zhang Fei-Zhou, Fan Yue-Zu, Shen Cheng-Zhi, Li De-Yi, Chen Hui. Intelligent control inverted pendulum with cloud models. Control Theory and Applications, 2000, 17(4): 519-523 (张飞舟, 范跃祖, 沈程智, 李德毅, 陈晖. 利用云模型实现智能控制倒立摆. 控制理论与应用, 2000, 17(4): 519-523)[13] Li De-Yi, Di Kai-Chang, Li De-Ren, Shi Xue-Mei. Mining association rules with linguistic cloud models. Journal of Software, 2000, 11(2): 143-158 (李德毅, 邸凯昌, 李德仁,史雪梅. 用语言云模型发掘关联规则. 软件学报, 2000, 11(2): 143-158)[14] Di Kai-Chang, Li De-Yi , Li De-Ren. Cloud theory and its application in spatial data excavation and knowledge discovery. Journal of Image and Graphics of China, 1999, 4 (11): 931-935(邸凯昌, 李德毅, 李德仁. 云理论及其在空间数据发掘和知识发现中的应用. 中国图象图形学报, 1999, 4(11): 931-935)[15] Li De-Yi, Du Yi. Artificial Intelligence with Uncertainty. Beijing: National Defence Industry Press, 2005 (李德毅, 杜鹢. 不确定性人工智能. 北京:国防工业出版社, 2005)[16] Li Zhong, Liu Yan. Research on one-dimension normal cloud model single rule reasoning. Journal of System Simulation, 2008, 20(3): 702-705 (李众, 刘艳. 一维正态云模型单规则推理映射研究. 系统仿真学报, 2008, 20(3): 702-705)[17] Lv Hui-Jun, Wang Ye, Li De-Yi, Liu Chang-Yu. The application of backward cloud in qualitative evaluation. Chinese Journal of Computers, 2003, 26(8): 1009-1014 (吕辉军, 王晔, 李德毅, 刘常昱. 逆向云在定性评价中的应用. 计算机学报, 2003, 26(8): 1009-1014)[18] Du Yi, Li De-Yi. A cloud concept based partition and its application on association excavation. Journal of Software, 2001, 12 (2): 196-203 (杜鹢, 李德毅. 基于云的概念划分及其在关联采掘上的应用. 软件学报, 2001, 12 (2): 196-203)[19] Wang Li-Xin. A Course in Fuzzy Systems and Control. Beijing: Tsinghua University Press, 2003 (王立新. 模糊系统与模糊控制教程. 北京: 清华大学出版社, 2003)

施引文献

资源附件(0)

访问统计